Strong Convergence Theorems for a General Class of Mapping Via Quasi-implicit Iterative Schemes

In this paper, we introduce a novel iterative scheme called quasi-implicit iterative scheme and study its stability as well as strong convergence for general class of maps in a normed linear space. Further, we proved rate of convergence and gave a numerical example to demonstrate that our iterative scheme is faster than semi- implicit iterative scheme and many more other iterative schemes in this direction.

Keywords:

Strong convergence , Quasi-implicit iterative scheme , Semi-implicit iterative scheme , Stability , Generalized contractive-like operators , xed point , Real normed space.